1. - Cone
2. - Sphere
3. - Cylinder
4. - Pyramid
5. - Prism
Solution:
1.
Lateral surface area of cone =
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere =
where r is the radius of the sphere.
3.
Total surface area of cylinder =
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid =
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism =
where p is the perimeter of the base and h is the height of the prism.
Answer:
a) 6 ways
b) 6 ways
Step-by-step explanation:
a) for all of the letters
for the first letter, we have 3 options
for the second, we have 2 options
for the third, we have 1 option
So the number of options will be;
3 * 2 * 1 = 6
b) for the first, we have 3 options, for the second, we have 2 options
so the number of options will be 3 * 2 = 6 options
Answer: You can watch 14 vines.
Step-by-step explanation: 1 2/5 is equal to 1 4/10
1 4/10 is equal to 14/10
So the amount of vines you could watch is 14 in 1 minute and 24 seconds.
Answer: 5+-20-4 or -24+5 or -15-4
Step-by-step explanation: (5)+(−4)(5)+(−4) 5+-20-4 -24+5 or -15-4 -19
Answer:
(-8/7 ; 5/7)
Step-by-step explanation:
5t + 1/2s = 3 - - - (1)
3t - 6s = 9 - - - - - (2)
Multiply (1) by 12 and (2) by 1
Add the result to eliminate s
60t + 6s = 36
3t - 6s = 9
____________
63t = 45
t = 45 / 63
t = 5/7
Put t = 5/7 in either (1) or (2) to obtain the value of s
3(5/7) - 6s = 9
15/7 - 6s = 9
-6s = 9 - 15/7
-6s = (63 - 15)/7
-6s = 48/7
s = 48/7 * - 1/6
s = - 8/7